Precalculus Examples

$\log (6^{3 x})$

Step 1

Expand $\log (6^{3 x})$ by moving $3 x$ outside the logarithm.

$3 x \log (6)$

Step 2

Rewrite $\log (6)$ as $\log (2 (3))$ .

$3 x \log (2 (3))$

Step 3

Rewrite $\log (2 (3))$ as $\log (2) + \log (3)$ .

$3 x (\log (2) + \log (3))$

Step 4

Apply the distributive property.

$3 x \log (2) + 3 x \log (3)$